Entrance Examination 2016 Arithmetic Section A 30 minutes Do not open this booklet until told to do so Calculators may not be used Surname Candidate number First name Current school Write your names,[.]
Surname Candidate number First name Current school Entrance Examination 2016 Arithmetic Section A 30 minutes Do not open this booklet until told to so Calculators may not be used Write your names, school and candidate number in the spaces provided at the top of this page You have 30 minutes for this paper which is worth 20 marks Answer all the questions, attempting them in order and writing your answers clearly If you find that you cannot answer a question straight away leave it blank and return to it later if you have time Try not to leave blank answer spaces at the end, instead make the best attempt at an answer that you can If you need to change an answer cross it out neatly and write the new answer alongside the box You may use rough paper for working out, this will not be marked Marker Number Correct Number Wrong Methods Q1-10 Problems Q11-20 Marker TOTAL Marker CHECK Agreed Mark Page Work out 983 + 254 Work out 573 x 300 3 Write as a decimal number 20 What fraction of a day is hours? Write your fraction in its simplest form What is the missing decimal number in this list 2.7, 4.3, , 7.5, 9.1 Work out 35 Work out 6.48 – 0.6, writing your answer as a decimal number Subtract the difference between 62 and 35 from the product of 13 and One of the angles in a triangle is 40° One of the remaining two angles is three times larger than the other angle What is the largest angle in the triangle? ° 10 A shop reduces its prices by 20% in a sale David bought a coat for £40 in the sale How much would the coat have cost him before the sale? For marker use only 10 £ Q1 - 10 Q1 - 10 Number Correct Number Wrong Page 11 Nigel folds a square piece of paper in half to give a rectangle which has a perimeter of 36 cm What is the area of the original square? 11 cm2 12 p 13 grams 12 Rachel buys three identical bags of sweets and five cans of drink, the total cost of these items came to £4.90 Rosie buys just one bag of sweets and three cans of drink and pays £2.70 What is the cost of a bag of sweets? 13 Tim has three apples The mean (average) weight of the three apples is 90 grams When Tim eats the largest apple, the mean weight of the remaining two apples is just 70 grams What was the weight of the largest apple? 14 In the sequence of numbers which starts 2, 3, 5, 9, each number is one less than two times the previous number in the list What is the number in the list immediately before 257? 14 15 A plant is growing at a steady rate of 0.2 cms every day At midday on January 19th the plant was cms high What will the date be when it reaches a height of 11 cm? 15 16 A bag contains coloured counters of just two colours There are twenty green counters numbered to 20 and thirty blue counters numbered to 30 What is the probability of picking a counter from the bag which is a multiple of four? 16 17 Lathes Engineering produces ten boxes of screws every minute It has to produce 48,000 boxes of screws in five days If its machines work an equal amount of time each day, work out the number of hours which will be needed each day to produce the boxes of screws needed 17 hrs Please turn over Page 18 At Frantic Junction, trains arrive at regular intervals on three different lines On the line from Aytown, trains arrive every 15 minutes On the line from Beeville, they arrive every 12 minutes and from Ceeford they arrive every minutes At 10.00am a train from each town arrives at Frantic Junction What is the next time that three trains will arrive together 18 19 Irfan has six fraction cards as shown below 1 1 1 24 12 Write down a possible way in which he can add three or more cards to get the 19 answer 12 20 83 is a prime number If Nancy reverses the order of the digits she gets 38 which is not prime How many two digit primes give a different prime number when their digits are reversed? 20 This is the end of the Examination Use any remaining time to check your work or try any questions you have not answered For marker use only Q11 - 20 Q11 - 20 Number Correct Number Wrong ... sweets and three cans of drink and pays £2.70 What is the cost of a bag of sweets? 13 Tim has three apples The mean (average) weight of the three apples is 90 grams When Tim eats the largest apple,... list What is the number in the list immediately before 257? 14 15 A plant is growing at a steady rate of 0.2 cms every day At midday on January 19th the plant was cms high What will the date... arrive every minutes At 10.00am a train from each town arrives at Frantic Junction What is the next time that three trains will arrive together 18 19 Irfan has six fraction cards as shown below